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A team of eight dogs pulls a sled with waxed wood runners

Chapter 5, Problem 6

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QUESTION:

A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of 210 kg.

(a) Calculate the magnitude of the acceleration starting from rest if each dog exerts an average force of 185 N backward on the snow.

(b) What is the magnitude of the acceleration once the sled starts to move?

(c) For both situations, calculate the magnitude of the force in the coupling between the dogs and the sled.

Questions & Answers

QUESTION:

A team of eight dogs pulls a sled with waxed wood runners on wet snow (mush!). The dogs have average masses of 19.0 kg, and the loaded sled with its rider has a mass of 210 kg.

(a) Calculate the magnitude of the acceleration starting from rest if each dog exerts an average force of 185 N backward on the snow.

(b) What is the magnitude of the acceleration once the sled starts to move?

(c) For both situations, calculate the magnitude of the force in the coupling between the dogs and the sled.

ANSWER:

 

Step 1 of 7

a.)

The magnitude of acceleration (a) starting from rest can be calculated by drawing the free body diagram for the problem and solving the force equation. 

sled.PNG

The equation for force is,

\(F-f=Ma\)

Where, F = Force exerted by eight dogs in N

             f = frictional force in N

M = The total mass of 8 dogs and sled with rider in kg

 

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